Volterra Series and Numerical Approximations of ODEs

A numerical approach for solving systems of nonautonomous ordinary differential equations (ODEs) is proposed under suitable assumptions. This approach is based on expansion of the solutions of ODEs by Volterra series and allows to estimate the distance between the obtained approximation and the true trajectory.

• Type: Conference
• Year: 2004
• Where: NAA
• Authors: Nikolay Kirov, Mikhail Krastanov
• Keywords: Mathematics, NAA 2004, Numerical Approach, Ordinary Differential Equations, Suitable Assumptions